Finite size scaling in quantum mechanics

Abstract

We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.

abstract = "We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.",

N2 - We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.

AB - We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.